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arXiv · 1607.03022

A topological conjugacy of invariant flows on some class of Lie groups

Alexandre J. Santana·Simão N. Stelmastchuk
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Abstract

The aim of this paper is to give a condition to topological conjugacy of invariant flows in an Lie group $G$ which its Lie algebra $\mathfrak{g}$ is associative algebra or semisimple. In fact, we show that if two dynamical system on $G$ are hyperbolic, then they are topological conjugate.

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Alexandre J. Santana, Simão N. Stelmastchuk. 2016-07-11. A topological conjugacy of invariant flows on some class of Lie groups. https://arxiv.org/abs/1607.03022

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